Q2 of 40 Page 86

Check whether the following equation are consistent or inconsistent. Solve them graphically.

2x + y =


6 4x - 2y = 4

2x + y = 6 4x - 2y = 4



Here, a1 = 2, b2 = 1, c1 = 6


a1 = 4, b2 = -2, c1 = 4


∴



∴ two lines are consistent



More from this chapter

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2

Check whether the following equation are consistent or inconsistent. Solve them graphically.

x + y = 5


2x + 2y = 10

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Check whether the following equation are consistent or inconsistent. Solve them graphically.

x - y = 8


3x + 3y = 16

 2

Check whether the following equation are consistent or inconsistent. Solve them graphically.

2x - 2y =


2 4x - 4y = 5

 3

Neha went to a ‘sale’ to purchase some pants and skirts. When her friend asked her how many of each she had bought, she answered “The number of skirts are two less than twice the number of pants purchased. Also the number of skirts is four less than four times the number of pants purchased.”

Help her friend to find how many pants and skirts Neha bought.